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SUMMARY:The cyclic open-closed map\, u-connections and R-matrices - Kai Hu
 gtenburg (Edinburgh)
DTSTART:20230201T160000Z
DTEND:20230201T170000Z
UID:TALK194191@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:This talk will review progress on obtaining Gromov-Witten inva
 riants from the Fukaya category. A crucial ingredient is showing that the 
 cyclic open-closed map\, which maps the cyclic homology of the Fukaya cate
 gory of X to its S1-equivariant quantum cohomology\, respects connections.
  Along the way we will encounter R-matrices\, which were used in the Given
 tal-Teleman classification of semisimple cohomological field theories\, an
 d allow one to determine higher genus Gromov-Witten invariants from genus 
 0 invariants. I will then present some evidence that this approach might e
 xtend beyond the semisimple case. Time permitting\, I will also explain wo
 rk in progress on obtaining open Gromov-Witten invariants from the Fukaya 
 category. 
LOCATION:MR13
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